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Q:

If $2 x - \frac{1}{2 x} = 5,$ then what is the value $x^{2} + \frac{1}{16 x^{2}} - 2$

A) 19/4	B) 23/4
C) 27/4	D) 31/4

Answer & Explanation Answer: A) 19/4

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Q:

If √3 = 1.732, then the value of $\frac{9 + 2 \sqrt{3}}{\sqrt{3}}$ ?

A) 7.169	B) 7.196
C) 5.198	D) 7.296

Answer & Explanation Answer: B) 7.196

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Q:

If $Sin 31^{°} = \frac{x}{y}$ , then the value of Sec 31° - Sin 59° is

A) x2yy2-x2	B) -x2yy2-x2
C) -y2y2-x2	D) x

Answer & Explanation Answer: A) x2yy2-x2

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Q:

If $x = \sqrt{3} + \frac{1}{\sqrt{3}}$ , then the value of $(x - \frac{\sqrt{126}}{\sqrt{42}}) (x - \frac{1}{x - \frac{2 \sqrt{3}}{3}})$ is

A) √3/6	B) 2√3/6
C) 5/6	D) 2/3

Answer & Explanation Answer: C) 5/6

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Q:

The value of $\frac{{(2.3)}^{3} + 0.027}{{(2.3)}^{3} - 0.69 + 0.09}$

A) 2	B) 2.27
C) 2.33	D) 2.6

Answer & Explanation Answer: D) 2.6

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Q:

If $2 x + \frac{1}{4 x} = 1$ , then the value of $x^{2} + \frac{1}{64 x^{2}}$ is

A) 0	B) 1
C) 1/4	D) 2

Answer & Explanation Answer: A) 0

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Q:

If $C + \frac{1}{C} = 3$ , then what is the value of ${(C - 3)}^{7} + \frac{1}{C^{7}}$ ?

A) 2	B) 0
C) 3	D) 1

Answer & Explanation Answer: B) 0

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Q:

Read the passage carefully and choose the best answer to each question out of the four alternatives and click the button corresponding to it.

The first working steam powered vehicle was designed and most likely built by Ferdinand Verbies, a Flemish member of a Jesuit mission in China around 1672. It was a 65 cm long scale model toy for the Chinese Emperor, that was unable to carry a driver or a passenger. It is not known if Verbiest's model was ever built. Nicolas- Joseph Cugnot is widely credited with building the first full scale, self propelled mechanical vehicle or automobile in about 1769; he also created a steam powered tricycle. He constructed two steam tractors for the French Army, one of which is preserved in the French National Conservatory of Arts and Crafts. His inventions were however handicapped by problems of water supply and maintaining steam pressure. In 1801, Richard Trevithick built and demonstrated his Puffing Devil road locomotive, believed by many to be the first demonstration of a steam powered road vehicle. It was unable to maintain sufficient steam pressure for long periods. Sentiment against steam powered road vehicles led to the Locomotive Acts of 1865. In 1807 Nicephore Niepce and his brother Claude probably created the world's first internal combustion engine which they called Pyreolophore.

The Pyreolophore was ?

A) A selfpropelled mechanical vehicle	B) A steam-powered tricycle
C) A steam tractor	D) The name of the world's first internal combustion engine

Answer & Explanation Answer: D) The name of the world's first internal combustion engine

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